TSTP Solution File: LAT168-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT168-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 04:35:01 EDT 2022
% Result : Unsatisfiable 1.88s 2.27s
% Output : Refutation 1.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 4 RR)
% Number of literals : 22 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT168-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,join(A,B)),A),
file('LAT168-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,meet(A,B)),A),
file('LAT168-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(A,B),meet(B,A)),
file('LAT168-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(A,B),join(B,A)),
file('LAT168-1.p',unknown),
[] ).
cnf(7,plain,
equal(meet(meet(A,B),C),meet(A,meet(B,C))),
file('LAT168-1.p',unknown),
[] ).
cnf(8,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
file('LAT168-1.p',unknown),
[] ).
cnf(9,plain,
equal(join(A,meet(join(A,B),meet(join(A,C),join(B,meet(A,C))))),meet(join(A,B),join(A,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(10,plain,
~ equal(meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),meet(a,join(b,c))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(13,plain,
equal(meet(A,join(B,A)),A),
inference(para,[status(thm),theory(equality)],[6,3]),
[iquote('para(6,3)')] ).
cnf(30,plain,
equal(join(A,join(meet(A,B),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,8]),1]),
[iquote('para(4,8),flip(1)')] ).
cnf(39,plain,
equal(join(A,meet(join(A,B),meet(join(C,meet(A,B)),join(A,C)))),meet(join(A,C),join(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,9]),7]),
[iquote('para(5,9),demod([7])')] ).
cnf(40,plain,
equal(meet(join(A,B),join(A,C)),join(A,meet(join(A,C),meet(join(B,meet(A,C)),join(A,B))))),
inference(flip,[status(thm),theory(equality)],[39]),
[iquote('flip(39)')] ).
cnf(53,plain,
~ equal(meet(a,join(b,meet(join(a,b),join(c,meet(b,a))))),meet(a,join(b,c))),
inference(para,[status(thm),theory(equality)],[5,10]),
[iquote('para(5,10)')] ).
cnf(70,plain,
equal(meet(A,join(B,join(C,A))),A),
inference(para,[status(thm),theory(equality)],[8,13]),
[iquote('para(8,13)')] ).
cnf(76,plain,
equal(meet(A,meet(B,join(C,A))),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,70]),7]),
[iquote('para(4,70),demod([7])')] ).
cnf(106,plain,
equal(join(A,join(B,meet(A,C))),join(A,B)),
inference(para,[status(thm),theory(equality)],[6,30]),
[iquote('para(6,30)')] ).
cnf(153,plain,
equal(meet(join(A,meet(B,C)),join(B,A)),join(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[106,13]),
[iquote('para(106,13)')] ).
cnf(154,plain,
equal(meet(join(A,B),join(A,C)),join(A,meet(join(A,C),join(B,meet(A,C))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[40]),153]),
[iquote('back_demod(40),demod([153])')] ).
cnf(1213,plain,
~ equal(meet(a,join(b,meet(join(b,a),join(c,meet(b,a))))),meet(a,join(b,c))),
inference(para,[status(thm),theory(equality)],[6,53]),
[iquote('para(6,53)')] ).
cnf(5880,plain,
equal(meet(A,join(B,meet(join(B,A),join(C,meet(B,A))))),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[154,76]),
[iquote('para(154,76)')] ).
cnf(5881,plain,
$false,
inference(conflict,[status(thm)],[5880,1213]),
[iquote('conflict(5880,1213)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT168-1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 15:15:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.88/2.27 ----- EQP 0.9e, May 2009 -----
% 1.88/2.27 The job began on n011.cluster.edu, Wed Jun 29 15:15:03 2022
% 1.88/2.27 The command was "./eqp09e".
% 1.88/2.27
% 1.88/2.27 set(prolog_style_variables).
% 1.88/2.27 set(lrpo).
% 1.88/2.27 set(basic_paramod).
% 1.88/2.27 set(functional_subsume).
% 1.88/2.27 set(ordered_paramod).
% 1.88/2.27 set(prime_paramod).
% 1.88/2.27 set(para_pairs).
% 1.88/2.27 assign(pick_given_ratio,4).
% 1.88/2.27 clear(print_kept).
% 1.88/2.27 clear(print_new_demod).
% 1.88/2.27 clear(print_back_demod).
% 1.88/2.27 clear(print_given).
% 1.88/2.27 assign(max_mem,64000).
% 1.88/2.27 end_of_commands.
% 1.88/2.27
% 1.88/2.27 Usable:
% 1.88/2.27 end_of_list.
% 1.88/2.27
% 1.88/2.27 Sos:
% 1.88/2.27 0 (wt=-1) [] meet(A,A) = A.
% 1.88/2.27 0 (wt=-1) [] join(A,A) = A.
% 1.88/2.27 0 (wt=-1) [] meet(A,join(A,B)) = A.
% 1.88/2.27 0 (wt=-1) [] join(A,meet(A,B)) = A.
% 1.88/2.27 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 1.88/2.27 0 (wt=-1) [] join(A,B) = join(B,A).
% 1.88/2.27 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.88/2.27 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.88/2.27 0 (wt=-1) [] meet(join(A,B),join(A,C)) = join(A,meet(join(A,B),meet(join(A,C),join(B,meet(A,C))))).
% 1.88/2.27 0 (wt=-1) [] -(meet(a,join(b,c)) = meet(a,join(b,meet(join(a,b),join(c,meet(a,b)))))).
% 1.88/2.27 end_of_list.
% 1.88/2.27
% 1.88/2.27 Demodulators:
% 1.88/2.27 end_of_list.
% 1.88/2.27
% 1.88/2.27 Passive:
% 1.88/2.27 end_of_list.
% 1.88/2.27
% 1.88/2.27 Starting to process input.
% 1.88/2.27
% 1.88/2.27 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 1.88/2.27 1 is a new demodulator.
% 1.88/2.27
% 1.88/2.27 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 1.88/2.27 2 is a new demodulator.
% 1.88/2.27
% 1.88/2.27 ** KEPT: 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.88/2.27 3 is a new demodulator.
% 1.88/2.27
% 1.88/2.27 ** KEPT: 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.88/2.27 4 is a new demodulator.
% 1.88/2.27
% 1.88/2.27 ** KEPT: 5 (wt=7) [] meet(A,B) = meet(B,A).
% 1.88/2.27 clause forward subsumed: 0 (wt=7) [flip(5)] meet(B,A) = meet(A,B).
% 1.88/2.27
% 1.88/2.27 ** KEPT: 6 (wt=7) [] join(A,B) = join(B,A).
% 1.88/2.27 clause forward subsumed: 0 (wt=7) [flip(6)] join(B,A) = join(A,B).
% 1.88/2.27
% 1.88/2.27 ** KEPT: 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.88/2.27 7 is a new demodulator.
% 1.88/2.27
% 1.88/2.27 ** KEPT: 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.88/2.27 8 is a new demodulator.
% 1.88/2.27
% 1.88/2.27 ** KEPT: 9 (wt=23) [flip(1)] join(A,meet(join(A,B),meet(join(A,C),join(B,meet(A,C))))) = meet(join(A,B),join(A,C)).
% 1.88/2.27 9 is a new demodulator.
% 1.88/2.27
% 1.88/2.27 ** KEPT: 10 (wt=19) [flip(1)] -(meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) = meet(a,join(b,c))).
% 1.88/2.27 ---------------- PROOF FOUND ----------------
% 1.88/2.27 % SZS status Unsatisfiable
% 1.88/2.27
% 1.88/2.27
% 1.88/2.27 After processing input:
% 1.88/2.27
% 1.88/2.27 Usable:
% 1.88/2.27 end_of_list.
% 1.88/2.27
% 1.88/2.27 Sos:
% 1.88/2.27 1 (wt=5) [] meet(A,A) = A.
% 1.88/2.27 2 (wt=5) [] join(A,A) = A.
% 1.88/2.27 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.88/2.27 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.88/2.27 5 (wt=7) [] meet(A,B) = meet(B,A).
% 1.88/2.27 6 (wt=7) [] join(A,B) = join(B,A).
% 1.88/2.27 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.88/2.27 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.88/2.27 10 (wt=19) [flip(1)] -(meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) = meet(a,join(b,c))).
% 1.88/2.27 9 (wt=23) [flip(1)] join(A,meet(join(A,B),meet(join(A,C),join(B,meet(A,C))))) = meet(join(A,B),join(A,C)).
% 1.88/2.27 end_of_list.
% 1.88/2.27
% 1.88/2.27 Demodulators:
% 1.88/2.27 1 (wt=5) [] meet(A,A) = A.
% 1.88/2.27 2 (wt=5) [] join(A,A) = A.
% 1.88/2.27 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.88/2.27 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.88/2.27 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.88/2.27 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.88/2.27 9 (wt=23) [flip(1)] join(A,meet(join(A,B),meet(join(A,C),join(B,meet(A,C))))) = meet(join(A,B),join(A,C)).
% 1.88/2.27 end_of_list.
% 1.88/2.27
% 1.88/2.27 Passive:
% 1.88/2.27 end_of_list.
% 1.88/2.27
% 1.88/2.27 UNIT CONFLICT from 5880 and 1213 at 0.80 seconds.
% 1.88/2.27
% 1.88/2.27 ---------------- PROOF ----------------
% 1.88/2.27 % SZS output start Refutation
% See solution above
% 1.88/2.27 ------------ end of proof -------------
% 1.88/2.27
% 1.88/2.27
% 1.88/2.27 ------------- memory usage ------------
% 1.88/2.27 Memory dynamically allocated (tp_alloc): 11718.
% 1.88/2.27 type (bytes each) gets frees in use avail bytes
% 1.88/2.27 sym_ent ( 96) 56 0 56 0 5.2 K
% 1.88/2.27 term ( 16) 1178462 1015896 162566 24 3152.6 K
% 1.88/2.27 gen_ptr ( 8) 965845 198376 767469 21 5996.0 K
% 1.88/2.27 context ( 808) 649584 649582 2 7 7.1 K
% 1.88/2.27 trail ( 12) 298214 298214 0 6 0.1 K
% 1.88/2.27 bt_node ( 68) 219375 219370 5 26 2.1 K
% 1.88/2.27 ac_position (285432) 0 0 0 0 0.0 K
% 1.88/2.27 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.88/2.27 ac_match_free_vars_pos (4020)
% 1.88/2.27 0 0 0 0 0.0 K
% 1.88/2.27 discrim ( 12) 114957 20160 94797 18 1111.1 K
% 1.88/2.27 flat ( 40) 2522416 2522416 0 111 4.3 K
% 1.88/2.27 discrim_pos ( 12) 59212 59212 0 1 0.0 K
% 1.88/2.27 fpa_head ( 12) 9704 0 9704 0 113.7 K
% 1.88/2.27 fpa_tree ( 28) 23024 23024 0 35 1.0 K
% 1.88/2.27 fpa_pos ( 36) 10414 10414 0 1 0.0 K
% 1.88/2.27 literal ( 12) 42479 36599 5880 1 68.9 K
% 1.88/2.27 clause ( 24) 42479 36599 5880 1 137.8 K
% 1.88/2.27 list ( 12) 4593 4537 56 3 0.7 K
% 1.88/2.27 list_pos ( 20) 23632 3415 20217 18 395.2 K
% 1.88/2.27 pair_index ( 40) 2 0 2 0 0.1 K
% 1.88/2.27
% 1.88/2.27 -------------- statistics -------------
% 1.88/2.27 Clauses input 10
% 1.88/2.27 Usable input 0
% 1.88/2.27 Sos input 10
% 1.88/2.27 Demodulators input 0
% 1.88/2.27 Passive input 0
% 1.88/2.27
% 1.88/2.27 Processed BS (before search) 12
% 1.88/2.27 Forward subsumed BS 2
% 1.88/2.27 Kept BS 10
% 1.88/2.27 New demodulators BS 7
% 1.88/2.27 Back demodulated BS 0
% 1.88/2.27
% 1.88/2.27 Clauses or pairs given 27825
% 1.88/2.27 Clauses generated 28729
% 1.88/2.27 Forward subsumed 22859
% 1.88/2.27 Deleted by weight 0
% 1.88/2.27 Deleted by variable count 0
% 1.88/2.27 Kept 5870
% 1.88/2.27 New demodulators 4527
% 1.88/2.27 Back demodulated 724
% 1.88/2.27 Ordered paramod prunes 0
% 1.88/2.27 Basic paramod prunes 78344
% 1.88/2.27 Prime paramod prunes 1723
% 1.88/2.27 Semantic prunes 0
% 1.88/2.27
% 1.88/2.27 Rewrite attmepts 344524
% 1.88/2.27 Rewrites 51662
% 1.88/2.27
% 1.88/2.27 FPA overloads 0
% 1.88/2.27 FPA underloads 0
% 1.88/2.27
% 1.88/2.27 Usable size 0
% 1.88/2.27 Sos size 5155
% 1.88/2.27 Demodulators size 4028
% 1.88/2.27 Passive size 0
% 1.88/2.27 Disabled size 724
% 1.88/2.27
% 1.88/2.27 Proofs found 1
% 1.88/2.27
% 1.88/2.27 ----------- times (seconds) ----------- Wed Jun 29 15:15:04 2022
% 1.88/2.27
% 1.88/2.27 user CPU time 0.80 (0 hr, 0 min, 0 sec)
% 1.88/2.27 system CPU time 0.40 (0 hr, 0 min, 0 sec)
% 1.88/2.27 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.88/2.27 input time 0.00
% 1.88/2.27 paramodulation time 0.11
% 1.88/2.27 demodulation time 0.11
% 1.88/2.27 orient time 0.07
% 1.88/2.27 weigh time 0.02
% 1.88/2.27 forward subsume time 0.03
% 1.88/2.27 back demod find time 0.11
% 1.88/2.27 conflict time 0.00
% 1.88/2.27 LRPO time 0.03
% 1.88/2.27 store clause time 0.22
% 1.88/2.27 disable clause time 0.02
% 1.88/2.27 prime paramod time 0.04
% 1.88/2.27 semantics time 0.00
% 1.88/2.27
% 1.88/2.27 EQP interrupted
%------------------------------------------------------------------------------